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Solve the equation, justify your response by showing mathematical steps

Solve the equation, justify your response by showing mathematical steps-example-1

1 Answer

4 votes

Answer:

1.5

Step-by-step explanation:

First, let us divide both sides by 3. This gives


10^(2y)=(3600)/(3)
10^(2y)=1200

Taking the log_10 of both sides gives '


log_(10)\mleft(10^(2y)\mright)=log_(10)\mleft(1200\mright)
2y=log_(10)\left(1200\right)

Since log_10 (1200) = 3.079, the above becomes


2y=3.079

finally, dividing both sides by 2 gives


y=1.54

which is our answer!

User Naveen Thonpunoori
by
8.4k points

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